Answer: -6(x+3) 4)
5)
Step-by-step explanation:
Answer:
We know that the area of a square of side length L is given by:
A = L^2
Here, the total area of the white square is:
A = (3x + 1)^2
And the area of the shaded square is:
A' = (2x + 3)^2
a) If we remove the shaded area from the white area, the remaining area is just the difference between the two, then:
area = A - A' = (3x + 1)^2 - (2x + 3)^2
This is the expression we wanted.
b) Now we need to expand and simplify the expression:
area = (3x + 1)^2 - (2x + 3)^2
area = (3x)^2 + 2*(3x)*1 + 1^2 - (2x)^2 - 2*(2x)*3 - 3^2
area = 9x^2 + 6x + 1 - 4x^2 - 12x - 9
area = (9 - 4)*x^2 + (6 - 12)*x + 1 - 9
area = 5*x^2 - 6*x - 8
This is the simplified equation for the remaining area.
Figure out the weight of the glass by first figuring out the area of the sides.
There are four sides. Each side is a triangle with height 2ft and base 2ft. So the area of one of the triangles is 2 ft^2.
There are four sides, so there is a total of 8 ft^2. Each ft^2 weighs 2.45 pounds, for a total of 8*2.45 = 19.6 pounds
Since the chain can support up to 35 pounds, then the chain can support the light cover easily.
Answer:
904.9 feet per minute
Step-by-step explanation:
The Angular distance can be calculated using below expression
S= r θ ..............eqn(1)
Where
θ = angular distance travelled
r= Radius= radius of 18 feet
But angular distance can also be expressed as
θ = wt...................eqn(2)
w= angular speed= 8 rev per minute= (8 × 2π)
t= time
Velocity can also be expressed as
V= s/t............eqn(3)
Where
V= velocity
s= distance
t= time
Substitute eqn(2) into eqn(3)
V=( r θ)/ t................eqn(4)
Substitute eqn(2) into eqn(4)
V=( r w t)/ t
V= r w ..............eqn(5)
V= 18×(8 ×2π)
=288π
= 904.9 feet per minute
Hence, the linear speed, in feet per minute, of the water. is 904.9 feet per minute
Answer:
26.25
Step-by-step explanation:
52.50 divided by 2= 26.25
